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Simplifying 3k(-1xy + -5) = 0 Reorder the terms: 3k(-5 + -1xy) = 0 (-5 * 3k + -1xy * 3k) = 0 (-15k + -3kxy) = 0 Solving -15k + -3kxy = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-3k'. -3k(5 + xy) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(5 + xy)' equal to zero and attempt to solve: Simplifying 5 + xy = 0 Solving 5 + xy = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + xy = 0 + -5 xy = 0 + -5 Combine like terms: 0 + -5 = -5 xy = -5 Add '-1xy' to each side of the equation. xy + -1xy = -5 + -1xy Combine like terms: xy + -1xy = 0 0 = -5 + -1xy Simplifying 0 = -5 + -1xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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